报告名称：A Class of Quadrinomial Permutations with Boomerang Uniformity Four

主办单位：数学与统计学学院

报告专家：涂自然

专家所在单位：河南科技大学

报告时间：2020年5月23日15：00

报告地点：腾讯会议会议ID：144209165

专家简介：涂自然，河南科技大学副教授。2009年博士毕业于中国科学院数学与系统科学研究院，主要研究方向为密码学中的密码函数等。

报告摘要：In Eurocrypt'18, Cid et al. proposed a new cryptanalysis tool called Boomerang Connective Table (BCT), to evaluate S-boxes of block ciphers. Later, Boura and Canteaut further investigated} the new parameter Boomerang uniformity for cryptographic S-boxes. It is of great interest to find new S-boxes with low Boomerang uniformity for even dimensions. In this topic, we discuss and prove that a class of permutation quadrinomials overF_{2^{2m}}withmodd has Boomerang uniformity four, which gives the fifth class of red such kind of permutation polynomials. Further, the occurrences of0and4in the BCTs of the investigated permutation polynomials are also completely determined.

邀请人：陈媛